Fine behavior of functions whose gradients are in an Orlicz space

Jan Malý, David Swanson, and William P. Ziemer. "Fine behavior of functions whose gradients are in an Orlicz space." Studia Mathematica 190.1 (2009): 33-71. <http://eudml.org/doc/284824>.

@article{JanMalý2009,
abstract = {For functions whose derivatives belong to an Orlicz space, we develop their "fine" properties as a generalization of the treatment found in [MZ] for Sobolev functions. Of particular importance is Theorem 8.8, which is used in the development in [MSZ] of the coarea formula for such functions.},
author = {Jan Malý, David Swanson, William P. Ziemer},
journal = {Studia Mathematica},
keywords = {Orlicz–Sobolev space; capacity; Lebesgue points},
language = {eng},
number = {1},
pages = {33-71},
title = {Fine behavior of functions whose gradients are in an Orlicz space},
url = {http://eudml.org/doc/284824},
volume = {190},
year = {2009},
}

TY - JOUR
AU - Jan Malý
AU - David Swanson
AU - William P. Ziemer
TI - Fine behavior of functions whose gradients are in an Orlicz space
JO - Studia Mathematica
PY - 2009
VL - 190
IS - 1
SP - 33
EP - 71
AB - For functions whose derivatives belong to an Orlicz space, we develop their "fine" properties as a generalization of the treatment found in [MZ] for Sobolev functions. Of particular importance is Theorem 8.8, which is used in the development in [MSZ] of the coarea formula for such functions.
LA - eng
KW - Orlicz–Sobolev space; capacity; Lebesgue points
UR - http://eudml.org/doc/284824
ER -